An amount of $ 48,000$ is borrowed lord 9 years at $6 \% 6 interest, compounded annually. If the loan is paid in full at the end of that period, thaw Mach must be paid back?
Use the calculator provided and round your answer to the rarest dollar.

An Amount Of $ 48,000$ Is Borrowed Lord 9 Years At $6 \% 6 Interest, Compounded Annually. If The Loan

Answers

Answer 1

By using the formula for compound interest, it can be calculated that

He must pay back $81095 after 9 years

What is Compound interest?

If the interest on a certain principal at a certain rate over a certain period of time increases exponentially, rather than linearly, then the interest earned is called compound interest

If p is the principal, r is the rate and t is the time, then the amount is calculated by the formula

[tex]A = p(1 + \frac{r}{100})^n[/tex]

The difference between the amount and the principal gives the compound interest.

Principal = $48000

Rate = 6%

Time = 9 years

Amount = [tex]48000(1+ \frac{6}{100})^9\\[/tex]

             = $81095

He must pay back $81095 after 9 years

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Related Questions

the average remaining lifetimes for women of various ages in a certain country are given in the following table

Answers

i wish you good luck

Which of the following statements is best supported by this lesson? (1 point)
If you want to save money, you should stop talking to people altogether.
Rewarding yourself with a small treat every now and then is probably okay.
Cell phones are always cheaper than land-line phones.
You only really need to limit your big-ticket purchases.

Answers

Answer:

B. Rewarding yourself with a small treat every now and then is probably okay

Step-by-step explanation:

The lesson talks about shopping and how it’s not bad to go shopping.

Can you kindly help with this please good people.

Answers

Answer:

A. Yes

Step-by-step explanation:

Each input corresponds to only one output, which satisfies the definition of a function.

Need Asap(i will give 10 points)

Answers

Answer:

The answer is C

Step-by-step explanation:

-3/9 is bigger than -1 and -9/3 is smaller than -1

Principal is

A. The original amount invested

B. The total amount earned

C. Interest plus original amount invested

D. Interest on a loan

Answers

As per the concept of simple interest the term principal refers the original amount invested.

Simple interest:

Basically, the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given,

Here we need to find the correct definition of the term principal.

As per the definition of the concept simple interest, then term principal refers the amount to be invested on the particular assets.

And at the nd of the particular, period the principal amount is either increase or decrease based on the interest applied on it.

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A researcher estimates that the average height of the buildings of 30 or more stories in a large city is at least 700 feet. A random sample of 10 buildings is selected, and the heights in feet are shown. At = 0.025, is there enough evidence to reject the claim? 485 511 841 725 615 520 535 635 616 582

Answers

Yes At = 0.025 is there enough evidence to reject the claim.

Given:

A random sample of 10 buildings is selected, and the heights in feet are shown.

485 511 841 725 615 520 535 635 616 582

Mean x = 6065/10

= 606.5

H : μ ≤ 700

n = 10

s = 109.08

α = 0.25

Test stat t = x - μ / s/[tex]\sqrt{n}[/tex]

on submitting the above values

t = -2.71.

so reject h.

Therefore Yes At = 0.025 is there enough evidence to reject the claim.

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Please helpppp it’s due today!!!

Answers

There are two pairs of triangles given. Using transformation of triangles we can say that ΔABC and ΔEFG are congruent. ΔDEF and ΔJKL are non-congruent to each other.

There are three types of transformations in triangles. They are translations, rotations and reflections.

Translation is nothing but changing the position of the figure without disturbing its shape and size. Two triangles are said to be congruent if their corresponding sides and angles are proportional.

In triangles ΔABC and ΔEFG, the sides AB and EF are proportional to each other, AC and EG are proportional to each other and BC and FG are proportional to each other. Translation is seen in ΔABC and ΔEFG.

In triangles ΔDEF and ΔJKL, neither the sides nor the angles are proportional to each other. Hence, ΔDEF and ΔJKL are not congruent to each other.

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solve the question please

Answers

Answer:

the answer is A

Step-by-step explanation:

you are dividing with a - so the signs will switch

please help me it's due now, please

Which image shows a rotation? A, B, or C

Answers

Answer: B

Step-by-step explanation: A is a translation, C is reflection and B is the reflection.

Hoped This Helped!

What is the answer to the expression "the difference of 9 and 2"?​

Answers

the difference between 9 and 2 is 7

Answer:

7?

Step-by-step explanation:

Uhhhh
You subtract 9 and 2
7
That's crazy now

Kyle had 17 cookies and then he bought 25,more cookies. He wants to
share them between himself and 6 friends. How many cookies will each
friend get?

Answers

Answer:

6 cookies

Step-by-step explanation:

himself + 6 friend = 7

(17+25)/7

= 42/7

= 6

Each friende get:

6 cookies

Answer:

6 cookies each person

Step-by-step explanation:

kyle had 17 cookieshe then bought 25 more meaning he had now 42 cookies

(17+25=42)

he wanted to share them equally between himself and his 6 friends meaning they were 7 people in total thus 42÷7=6

What is a rational number between 4/9 and 6/11

Answers

Answer. 18/36, 19/36

a. Using variables, write out the formula for the point-slope form of the equation.

b. Determine the slope of the line that passes through the points (-2, 1) and (0, 1).

c. Identify the point (-2, 1) as (x1, y1).

d. Write the equation of the line in point-slope form.

Show all work on how you found the slope or determined the slope from the graph. Use the box provided to submit all of your calculations and final answers. Simplify the answer as needed.

Answers

The point-slope form of the equation is y - 1 = 0

The formula for the point-slope form of the equation

From the graph, we have the following points

(-2, 1) and (0, 1)

Start by calculating the slope of the points

This is calculated as

slope = (y₂ - y₁)/(x₂ - x₁)

This can be rewritten as

m = (y₂ - y₁)/(x₂ - x₁)

Where

slope = m

(x, y) = (-2, 1) and (0, 1)

So, we have

m = (1 - 1)/(0 + 2)

Evaluate the expression

m = 0

From the question, we understand that:

(x₁, y₁) = (-2, 1)

The equation of the line is then calculated as

y - y₁ = m(x - x₁)

Substitute the known values in the above equation, so, we have the following representation

y - 1 = 0(x + 2)

Evaluate

y - 1 = 0

Hence, the equation of the line is y - 1 = 0

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AP Statistics (Multiple Choice)
(Image above) PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!

Answers

Answer:

A

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

To find the percentage of the Pie-Chart , Divide each corresponding Number by the Total Frequency

Total Frequency = 9 + 20 + 25 + 39 = 93

% of Motorcycle = [tex]\frac{9}{93}* 100=9.7 %[/tex] %

% of Sedan  = [tex]\frac{20}{93}* 100=21.5 %[/tex] %

% of SUV  = [tex]\frac{25}{93}* 100=26.9 %[/tex] %

% of Truck  = [tex]\frac{39}{93}* 100=41.9 %[/tex] %

This is represented by Choice A)

UGENT!
UGENT!
UGENT!
UGENT!
UGENT!
UGENT!



what is 1+1!!

Answers

Answer:

2

Step-by-step explanation so, you got the question 1+1? let me help.  So the first 1 in the question right? You add another 1 that equals 2 hope this helps.

Answer:

24

Step-by-step explanation:

well u see 1+1 would usually = 2 but because i dont like the number 2 by its self i add another 2 therefore its 22 and then i like to spice it up with adding another 2 to the last 2 then u have 24.

HOPED THIS HELPED!!!!! :b

A standard game of Monopoly includes 20 orange $500 bills, 20 tan $100 bills, 30 green $50 bills, 50 blue $20 bills, 40 of each of the $5, $10, and $1 bills. What is the probability that I randomly pick a $50 bill from the pile? what is the answer.​

Answers

Answer: 30/240 = 1/8

Step-by-step explanation: There are 30 $50 bills and 240 total. There is a 30/240 chance that the bill you pick is a $50 bill. To simplify the fraction - 1/8.

Find the transformation of the point A (3,-5) please help 0-0

Answers

The image of the rotation in the transformation is (-1, 4)

How to determine the image of the transformation?

The coordinates of the point are given as

Point = (3, -5)

The transformations are given as

T₁, ₄ rₓ-axis R₉₀°

Mathematically, this is represented as

(x, y) = (x + 1, y + 4) = (x + 1, -y - 4) = (y + 4, x + 1)

So, we have

(x, y) ⇒ (y + 4, x + 1)

Recall that

Point = (3, -5)

This gives

Image = (-5 + 4, 3 + 1)

Evaluate

Image = (-1, 4)

Hence, the coordinates of the image are (-1, 4)

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TB MC Qu. 07-135 (Algo) On July 9, Mifflin Company receives...
On July 9, Mifflin Company receives an $8,200, 120-day, 6% note from customer Payton Summers to replace an account receivable. What entry should be made by
Mifflin on the maturity date assuming the maker pays in full, and no adjusting entries have been made related to the note? (Use 360 days a year.)
Multiple Choice
Debit Cash $8,364, credit Interest Revenue $164; credit Notes Receivable $8,200
Debit Cash $8,282; credit Interest Revenue $82, credit Notes Receivable $8,200.
Debit Notes Receivable $8,200, debit Interest Receivable $164; credit Sales $8,364.
Debit Cash $8,200, credit Notes Receivable $8,200.

Answers

Answer:

a

Step-by-step explanation:

cause

IXL Help Fast Please ! Almost finished with this one!

Answers

Answer:

x=8

Step-by-step explanation:

2x+122=154-2x

4x+122=154

4x=32

X=8

hopes this helps

identify the transformations used to graph g(x)=-1/2(x-3)^3 from its parent function f(x)=x^3

Answers

Answer:

The transformations that have been done are reflected vertically -1/2 and moved to the right by 3 units.

Step-by-step explanation:

To find out what transformations differ from your parent graph, look at the a,h, and k values.

A value means if it is being vertically stretched or reflected

In this case, -1/2 is a vertically reflection(upside down).

We also have -3 as our h value. This tells us how many units right or left our graph moves. If the value is negative, it moves to the right. If the value is positive, it moves to the left.

Now you know how to find transformations that differ from the parent graph


4. An average cigarette contains 1.5 mg of nicotine. The average smoker
smokes 15 cigarettes a day. How much nicotine does the average
smoker inhale a day?

Answers

Answer:

22.5 mg of nic

Step-by-step explanation:

1.5*15=22.5mg

don't smoke kids! (idc)

A cable is 8.9 m long. 10 decimeters =1 meter; therefore, how long this is in decimeters?

Answers

Answer:

89 decimeters I THINK...

Step-by-step explanation:

1 m → 10 dm

8.9 m → L(dm)

Solve the above proportion to obtain the length L in decimeters:

L(dm) = 8.9 m × 10 dm

L(dm) = 89 dm

The final result is:

8.9 m → 89 dm

Answer:

89 decimeters

Step-by-step explanation:

8.9 m × 10 = 89 dm

Lee Anne and Mary got their allowance and went to their favorite store.

A. Lee Anne has $ 30 to spend and wants to buy 3 pairs of sunglasses. She estimates by rounding $ 14.72 to the nearest ten, which is $ 10 and then multiplying $10x3=$ 30. Is Lee Anne's estimate reasonable? Explain how you know.

B. Mary buys a pair of earrings and two bookmarks. She pays with a twenty-dollar bill. How much change will she receive?

C. The store is running a special deal- Buy 3 pairs of earring, Get one pair free! Lee Anne decides doesn't want sunglasses anymore. Will her 30 be enough to take advantage of this deal? Exp how you know.

Answers

A. Her estimate is not reasonable, as she does not have enough money to buy the 3 sunglasses.

B. The change that she will receive is of $4.67.

C. Her $30 will be enough to take advantage of the deal.

How to obtain the values?

The values are obtained applying the proportions, which are the prices of each product in this problem.

For item a, the cost of three sunglasses should be of:

3 x 14.72 = $44.16.

The estimate to the nearest tenth is not reasonable, as she does not have enough money to buy the sunglasses.

The cost in item b is given as follows:

9.83 + 2 x 2.75 = $15.33.

The change is given by the amount paid subtracted by the total cost, hence:

Change = 20 - 15.33 = $4.67.

The amount paid in item c is of:

3 x 9.83 = $29.49.

Which is less than $30, hence her $30 will be enough to take advantage of the deal.

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Two sides of a triangle have the following measures. Find the range for the measure of the third side.
7,10
A.3 < x < 14
B.4 C.5 < x < 10
D.3 < x < 17
Help please
I really need help

Answers

The range for the third side will be around 5<x<10

What is Pythagoras theorem?

Pythagoras theorem is a theorem applied to right angled triangle. It states that sum of squares of sides of a right triangle is equal to the square of the hypotenuse.

Let use consider that the given triangle is right triangle

We know the length of the hypotenuse is 10

And one of the side is of length 7

Let the side of the triangle be 'x'

Hence by Pythagoras theorem

We have

7^2+x^2=10^2

49+x^2=100

x^2= 51

x= 7.2

Hence this range is in between 5<x<10

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51. Minimizing Average Cost Suppose the total cost
function for manufacturing a certain product is
C1x 2 5 0.210.01x 2 1 1202 dollars, where x represents
the number of units produced. Find the level of production that will minimize the average cost.

Answers

The level of production that minimizes the average cost is the quantity of units produced when the value of the average cost function has a minimum value, which is 110 units of production

What is the minimum value of a function?

The minimum value of a function is given by the point of the graph of the function where the value is minimum.

The total cost function is C(x) = 0.2·(0.01·x² + 120)

x = The number of units produced (manufactured)

The average cost is the cost to produce one unit

Therefore;

[tex]Average\, cost, \, AC = \dfrac{Total \, cost }{Quantity \, produced}[/tex]
Therefore;

[tex]Average\, cost \, function,\, f(x) = \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}[/tex]

The quantity that minimizes the average cost is given by the minimum value of the average cost function, which is the point at which the slope of the function, f'(x) is zero as follows;

[tex]f'(x) =\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) = 0[/tex]

[tex]\dfrac{d}{dx} \left( \dfrac{0.2\cdot (0.01\cdot x^2 + 120)}{x}\right) =\dfrac{x^2-12000}{500\cdot x^2} = 0[/tex]

x² - 12000 = 0

x² = 12000

x = √(12000) = 20·√(30) ≈ 110

The level of production that will minimize the average cost is when 110 units are produced

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Leaves and acorns are falling from the trees, but to work out the exact number of each you need to solve the following equation.

If l number of leaves = 46, what does a (acorns) equal?

l + 3a = 145

Answers

Using the equation, the number of acorns that fell if 46 leaves fell is 33.

How to find the number of acorns?

Leaves and acorns are falling from the trees. To work out the exact number of each you need to solve the following equation.

l + 3a  = 145

where

l = number of leavesa = number of acorns

Let's find the number of acorns that fell if 46 leaves fell off from th tree.

Therefore,

l + 3a  = 145

46 + 3a  = 145

3a = 145 - 46

3a = 99

divide both sides by 3

a = 99 / 3

a = 33

Therefore,

number of acorns = 33

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The diameter of a spherical is 3/2 inches. What is the exact volume of the ball bearing? Enter your answer in the box as a simplified fraction.

Answers

The Volume of the Ball Bearings is 1.76 cubic. inches

Given :

The diameter of the ball bearings = 3/2 inches

The radius of the ball bearings = 3/4 inches

Now, The Volume of the Sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]

Putting the value of radius = 3/4 in the formula of the Volume,

We have :

The volume of the ball bearings =

[tex]V =\frac{4}{3} \pi (\frac{3}{4} )^{3} = \frac{4}{3} *\frac{22}{7}*\frac{3}{4} *\frac{3}{4} *\frac{3}{4}\\ \\V = 1.76[/tex]

Hence, The Volume of the Ball Bearings =  1.76 cubic. inches

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A kangaroo hops 2 km in 5 minutes at this rate how far does the kangaroo travel in 3 minutes?

Answers

The kangaroo traveled 1.2 km in 3 minutes.

What is distance?

The distance between two points is the length of a straight line segment that links them. The distance of a point from a line is the length of the shortest line segment from the point to the line. This will also be perpendicular to the line.

Given,

kangaroo travel the distance in 5 min = 2

in 1 min, the distance covered by kangaroo = 2/5

and in 3 minutes, kangaroo will traveled = 2/5(3) = 1.2 km.

Hence, the distance covered by the Kangaroo in 3 minutes is 1.2 km.

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One sample has n = 18 with SS = 102 and M = 12. A second sample has n =
5 with SS = 171 and M = 8. Which of the following is the 95% confidence
interval for the mean difference in confidence between the two samples?
05±6.0956
O 5±3.7856
O4 ±3.7856
O4±6.0956

Answers

Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.

Given that,

A sample has n = 18, SS = 102, and M = 12 for one sample. In a second sample, the n is 5, the SS is 171, and the M is 8.

We have to find The mean difference in confidence between the two samples' 95% confidence interval falls between which of the following ranges.

n₁=18 and SS=102

We get,

S₁=[tex]\sqrt{SS/n_{1}-1 }[/tex]=[tex]\sqrt{102/18-1}[/tex]=2.45

n₂=5 and SS=8

We get,

S₂=[tex]\sqrt{SS/n_{2}-1 }[/tex]=[tex]\sqrt{8/5-1}[/tex]=6.54

C is 95%=0.95

d=0.05

Pooled variance is

S²p=273.13/21=13.01

Standard error= S₁-S₂= 1.82

Confidence interval is

μ₁-μ₂

4±3.7856

Therefore, Option-3 is correct. The mean difference in confidence between the two samples' 95% confidence interval falls between 4±3.7856.

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what’s equivalent to 2 to the power of 6

Answers

[tex]\fbox{64 or 8*8}[/tex]

[tex]2^6=64[/tex]

[tex]8\times8=64[/tex]

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